In a shower , 5 cm of rain falls . The volume of the water that falls on 2 hectares of ground , is

Options

A. 100 `m^3`
B. 10 `m^3`
C. 1000 `m^3`
D. ` 10000 m^3`

Explanation

To find the volume of water that falls on 2 hectares of ground when 5 cm of rain falls, we can follow these steps:

### Step 1: Convert hectares to square meters
1 hectare is equal to 10,000 square meters. Therefore, to convert 2 hectares to square meters:
\[ \text{Area} = 2 \text{ hectares} \times 10,000 \text{ m}^2/\text{hectare} = 20,000 \text{ m}^2 \]

### Step 2: Convert rainfall from centimeters to meters
The rainfall is given as 5 cm. To convert this to meters:
\[ \text{Height} = 5 \text{ cm} \times \frac{1 \text{ m}}{100 \text{ cm}} = 0.05 \text{ m} \]

### Step 3: Calculate the volume of water
The volume of water can be calculated using the formula for the volume of a cuboid:
\[ \text{Volume} = \text{Area} \times \text{Height} \]
Substituting the values we have:
\[ \text{Volume} = 20,000 \text{ m}^2 \times 0.05 \text{ m} = 1,000 \text{ m}^3 \]

### Final Answer
The volume of water that falls on 2 hectares of ground when 5 cm of rain falls is:
\[ \text{Volume} = 1,000 \text{ m}^3 \]

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